Capitalism is unable to recognize the value of lots of kinds of work (that is often done by women), especially when those performing the work aren't the kind to charge for it. Just because work is being given away for free doesn't mean it's worthless. Capitalism has some shortcomings and one of them is that it's unable to support certain business models that provide value to the world.
Wikipedia manages to exist on the largess of wealthy benefactors, and a ton of volunteer labor. Are those volunteers a "net burden" on society?
If not the market, then what? Why do you think resource allocation scheme X would be better than the market overall? Without prices, we're left with the people best at being loud demagogues deciding the application of society's limited resources. Is that really better? Has it ever worked to produce prosperity or happiness?
Yes, economic value reflects social value, and chasing profit produces social good. Every time somebody's rejected this principle, he's produced poverty and death.
The median person on UBI would probably be a net burden on society.
The mean? Probably not. Albert Einstein's Theory of Relativity was a side project. It'd only take a couple of similar projects to make all of UBI worth it.